749000829000 has 128 divisors (see below), whose sum is σ = 2338872382080. Its totient is φ = 199563488000.

The previous prime is 749000828993. The next prime is 749000829029. The reversal of 749000829000 is 928000947.

749000829000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×749000829000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 749000829000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3437299 + ... + 3648701.

It is an arithmetic number, because the mean of its divisors is an integer number (18272440485).

Almost surely, 2^749000829000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749000829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169436191040).

749000829000 is an abundant number, since it is smaller than the sum of its proper divisors (1589871553080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

749000829000 is a wasteful number, since it uses less digits than its factorization.

749000829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212608 (or 212594 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

Adding to 749000829000 its reverse (928000947), we get a palindrome (749928829947).

The spelling of 749000829000 in words is "seven hundred forty-nine billion, eight hundred twenty-nine thousand".